@Article{JMS-55-242,
author = {Lai , Mijia and Zhou , Huihuang},
title = {A Note on Obata Equations on Manifolds with Boundary},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {3},
pages = {242--253},
abstract = {<p style="text-align: justify;">We analyze complete manifolds with boundary which admit solutions to Obata type equations $\nabla^2 f- fg=0$ and $\nabla^2 f=g$ under various boundary conditions. Given the existence of interior critical points, such manifolds are domains in the hyperbolic space and the Euclidean space respectively.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v55n3.22.02},
url = {http://global-sci.org/intro/article_detail/jms/20974.html}
}